We had a hail storm in a previous house several years back that did marginal damage. We also had a next door neighbor that was a roofer. This was his advice (which worked).
Wait. You have up to a year to file a claim. If your roof is not leaking, there is no hurry.
As time goes by rain storms will knock the little pebbles off of the hail dents, making them more visible.
If you really had hail in the area, lots of your neighbors will also have damage.
When it comes time to file... the damage will be more apparent and you will be able to tell the adjuster "These 8 houses on my lot successfully filed an insurance claim. Make sure you take that into account."
Another thing that waiting does is: after a big storm a huge rush of fly-by-night roofers will drive into town and knock on every door. We literally had 3-4 a week (with a sign that said "no soliciting" right above the doorbell.) You don't want those guys. You want to talk to all your neighbors and figure out which crew did a good job and which crew sucks. In my case, we used our neighbor to do the roofing, but only after talking to 4-5 other neighbors that gave him a really good review.